PE 3 - Time, Speed & Distance | Arithmetic - Time, Speed & Distance
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A candle of 10 cm long burns at the rate of 4 cm in 4 hours and another candle of 12 cm long burns at the rate of 10 cm in 5 hours. If both the candles start burning at the same time; after how long will they be of same length.
- (a)
1 hour
- (b)
1.5 hours
- (c)
2 hours
- (d)
None of these
Solution
Discuss
ReportTwo persons start from the opposite ends of a 60 km straight track and run to and from between the two ends. The speed of first person is 10 m/s and the speed of other is 125/18 m/s. They continue their motion for 10 hours. How many times they pass each other?
- (a)
5
- (b)
4
- (c)
3
- (d)
None of these
A bus leaves from Chennai to Bangalore and Bangalore to Chennai every hour, the first one at 6 a.m. The trip from one city to other takes 3½ hours, and all buses travel at the same speed. How many buses will you pass while going from Chennai to Bangalore if you start at 12 noon? (excluding the buses at Chennai or Bangalore)
- (a)
8
- (b)
6
- (c)
9
- (d)
7
Two ants start simultaneously from two ant holes towards each other. The first ant covers 8% of the distance between the two ant holes in 3 hours, the second ant covered 7/120 of the distance in 2 hours 30 minutes. Find the speed (feet/h) of the second ant if the first ant travelled 800 feet to the meeting point.
- (a)
15 feet/hr
- (b)
25 feet/hr
- (c)
45 feet/hr
- (d)
35 feet/hr
A train after travelling 100 km meets with an accident and then proceeds with 2/3rd of its former speed and arrives at its destination 2 hours late. Had the accident occurred 50 kms further, it would have reached the destination 1 hour late. What is the total distance travelled by the train?
- (a)
400 kms
- (b)
250 kms
- (c)
200 kms
- (d)
150 kms
A and B start from the same point in opposite directions round a circular field 1000 meters in circumference. A did not start till B has run 200 m. They pass each other when A has run 500 m. Who will come first at the starting point and what distance will they then be apart?
- (a)
A, 240 m
- (b)
A, 200 m
- (c)
B 300 m
- (d)
A, 160 m
A and B run a 1 km race. In the first heat A gives B a start of 100 meters and beats him by 40 seconds; In the second heat A gives B a start of 20 seconds and beats him by 300 meters. In what time (in seconds) can each run 1 kilometer?
- (a)
A = 45, B = 90
- (b)
A = 30, B = 60
- (c)
A = 40, B = 80
- (d)
A = 50, B = 100
Two people leave a junction simultaneously, one travelling North and the other travelling West. One of them runs at a speed of 2 km/h more than the other. If after two hours from start, they are 20 kms apart, the speed of the faster person is:
- (a)
14 kmph
- (b)
8 kmph
- (c)
16 kmph
- (d)
10 kmph
A boatman can row 36 km with the current in the time he would take to row 18 km against it but if the speed of current were 2 km/h more he would row five times as rapidly with the current as against it. What is his rate of rowing in still water?
- (a)
2 kmph
- (b)
9 kmph
- (c)
5 kmph
- (d)
6 kmph
A car driving in fog passed a man walking at 2 kmph in the same direction. He could see the car for 1 minutes and up to a distance of 300 m. What was the speed of the car?
- (a)
20 kmph
- (b)
18 kmph
- (c)
21 kmph
- (d)
None of these